{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "fa9f62a0",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "f493bb5b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "x = range(10)\n",
    "y = range(10)\n",
    "\n",
    "fig = plt.gca()\n",
    "plt.plot(x,y)\n",
    "\n",
    "fig.axes.get_xaxis().set_visible(False)\n",
    "fig.axes.get_yaxis().set_visible(False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a03e0ac2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([ 0.,  0.,  4., 13., 25., 48., 52., 65., 33., 33., 13., 11.,  2.,\n",
       "         1.,  0.]),\n",
       " array([-3.5, -3. , -2.5, -2. , -1.5, -1. , -0.5,  0. ,  0.5,  1. ,  1.5,\n",
       "         2. ,  2.5,  3. ,  3.5,  4. ]),\n",
       " <BarContainer object of 15 artists>)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import math \n",
    "x = np.random.normal(loc=0.0,scale=1.0,size=300)\n",
    "width =0.5\n",
    "bins = np.arange(math.floor(x.min())-width,math.ceil(x.max())+width,width)\n",
    "ax = plt.subplot(111)\n",
    "\n",
    "ax.spines['top'].set_visible(False)\n",
    "ax.spines['right'].set_visible(False)\n",
    "\n",
    "plt.tick_params(bottom='off',top='off',left='off')\n",
    "plt.grid(True)\n",
    "plt.hist(x,alpha=0.5,bins=bins)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "ed47007f",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\MI\\AppData\\Local\\Temp\\ipykernel_10304\\536329778.py:8: UserWarning: set_ticklabels() should only be used with a fixed number of ticks, i.e. after set_ticks() or using a FixedLocator.\n",
      "  ax.set_xticklabels(labels,rotation=45,horizontalalignment='right')\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[Text(-2.0, 0, 'tangyudi'),\n",
       " Text(0.0, 0, 'tangyudi'),\n",
       " Text(2.0, 0, 'tangyudi'),\n",
       " Text(4.0, 0, 'tangyudi'),\n",
       " Text(6.0, 0, 'tangyudi'),\n",
       " Text(8.0, 0, 'tangyudi'),\n",
       " Text(10.0, 0, 'tangyudi')]"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = range(10)\n",
    "y = range(10)\n",
    "\n",
    "labels = ['tangyudi' for i in range(10)]\n",
    "fig,ax = plt.subplots()\n",
    "plt.plot(x,y)\n",
    "\n",
    "ax.set_xticklabels(labels,rotation=45,horizontalalignment='right')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "fb7c4ba0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2603a595010>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.arange(10)\n",
    "for i in range(1,4):\n",
    "    plt.plot(x,i*x**2,label='Group %d'%i)\n",
    "\n",
    "plt.legend(loc='best')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "b6b3b201",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1ab5ce2dad0>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = plt.subplot(111)\n",
    "\n",
    "x = np.arange(10)\n",
    "for i in range(1,4):\n",
    "    plt.plot(x,i*x**2,label='Group %d'%i)\n",
    "ax.legend(loc='upper center',bbox_to_anchor =(1.15,1),ncol=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "9ff936c4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1ab5c662e50>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.arange(10)\n",
    "for i in range(1,4):\n",
    "    plt.plot(x,i*x**2,label='Group %d'%i)\n",
    "\n",
    "plt.legend(loc='upper right',framealpha =0.05)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "05bc795b",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
